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Proofgold Proposition

(∀ x0 . ∀ x1 x2 x3 : ι → ι → ι . ∀ x4 . ∀ x5 : ι → ι → ι . ∀ x6 : ι → ι → ι → ι . ∀ x7 : ι → ι → ι . ∀ x8 x9 : ι → ι → ι → ι . ∀ x10 x11 x12 x13 : ι → ι → ι . Loop_with_defs_cex2 x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0x9 x14 x15 (x12 x16 (x12 x14 (x9 x15 x16 (x9 x14 x15 (x12 x16 (x12 x14 (x9 x15 x16 (x9 x14 x15 (x12 x16 (x12 x14 (x9 x15 x16 (x9 x14 x15 (x12 x16 (x12 x14 (x9 x15 x16 (x9 x14 x15 (x12 x16 (x12 x14 (x9 x15 x16 x17))))))))))))))))))) = x17)(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0x9 x14 x15 (x10 x16 (x12 x14 (x8 x15 x16 (x9 x14 x15 (x10 x16 (x12 x14 (x8 x15 x16 (x9 x14 x15 (x10 x16 (x12 x14 (x8 x15 x16 x17))))))))))) = x17)(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0x10 x14 (x12 x15 (x12 x16 x17)) = x12 x15 (x12 x16 (x10 x14 x17)))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0x8 x14 x15 (x10 x16 (x7 x17 x18)) = x10 x16 (x7 x17 (x8 x14 x15 x18)))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0x7 x14 (x12 x15 (x12 x16 (x12 x17 x18))) = x12 x16 (x12 x17 (x7 x14 (x12 x15 x18))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0x12 x14 (x12 x15 (x7 x16 (x7 x17 x18))) = x7 x16 (x7 x17 (x12 x14 (x12 x15 x18))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0x7 x14 (x12 x15 (x12 x16 (x12 x17 x18))) = x12 x16 (x12 x17 (x7 x14 (x12 x15 x18))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0x10 x14 (x13 x15 (x7 x16 (x10 x17 x18))) = x7 x16 (x10 x17 (x10 x14 (x13 x15 x18))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0x10 x14 (x13 x15 (x12 x16 (x7 x17 x18))) = x12 x16 (x7 x17 (x10 x14 (x13 x15 x18))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0x8 x14 x15 (x10 x16 (x7 x17 (x10 x18 x19))) = x7 x17 (x10 x18 (x8 x14 x15 (x10 x16 x19))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0x8 x14 x15 (x13 x16 (x7 x17 (x10 x18 x19))) = x7 x17 (x10 x18 (x8 x14 x15 (x13 x16 x19))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0x8 x14 x15 (x7 x16 (x8 x17 x18 (x7 x19 x20))) = x8 x17 x18 (x7 x19 (x8 x14 x15 (x7 x16 x20))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0x9 x14 x15 (x10 x16 (x9 x17 x18 (x12 x19 x20))) = x9 x17 x18 (x12 x19 (x9 x14 x15 (x10 x16 x20))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x8 x14 x15 (x7 x16 (x10 x17 (x9 x18 x19 (x10 x20 x21)))) = x9 x18 x19 (x10 x20 (x8 x14 x15 (x7 x16 (x10 x17 x21)))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x9 x14 x15 (x13 x16 (x12 x17 (x8 x18 x19 (x13 x20 x21)))) = x8 x18 x19 (x13 x20 (x9 x14 x15 (x13 x16 (x12 x17 x21)))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x8 x14 x15 (x10 x16 (x12 x17 (x9 x18 x19 (x13 x20 x21)))) = x9 x18 x19 (x13 x20 (x8 x14 x15 (x10 x16 (x12 x17 x21)))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x8 x14 x15 (x12 x16 (x10 x17 (x8 x18 x19 (x10 x20 x21)))) = x8 x18 x19 (x10 x20 (x8 x14 x15 (x12 x16 (x10 x17 x21)))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x9 x14 x15 (x10 x16 (x10 x17 (x8 x18 x19 (x12 x20 x21)))) = x8 x18 x19 (x12 x20 (x9 x14 x15 (x10 x16 (x10 x17 x21)))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x9 x14 x15 (x7 x16 (x7 x17 (x9 x18 x19 (x7 x20 x21)))) = x9 x18 x19 (x7 x20 (x9 x14 x15 (x7 x16 (x7 x17 x21)))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x9 x14 x15 (x12 x16 (x7 x17 (x8 x18 x19 (x7 x20 x21)))) = x8 x18 x19 (x7 x20 (x9 x14 x15 (x12 x16 (x7 x17 x21)))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x9 x14 x15 (x13 x16 (x13 x17 (x9 x18 x19 (x12 x20 x21)))) = x9 x18 x19 (x12 x20 (x9 x14 x15 (x13 x16 (x13 x17 x21)))))(∀ x14 . In x14 x0∀ x15 . In x15 x0∀ x16 . In x16 x0∀ x17 . In x17 x0∀ x18 . In x18 x0∀ x19 . In x19 x0∀ x20 . In x20 x0∀ x21 . In x21 x0x9 x14 x15 (x13 x16 (x10 x17 (x9 x18 x19 (x13 x20 x21)))) = x9 x18 x19 (x13 x20 (x9 x14 x15 (x13 x16 (x10 x17 x21)))))False)∀ x0 : ο . x0
type
prop
theory
HF
name
-
proof
PUgX9..
Megalodon
-
proofgold address
TMXo3..
creator
3252 PrCx1../6fe2d..
owner
3252 PrCx1../6fe2d..
term root
fe950..